Information on Result #1717696
Digital (85, 97, 454566)-net over F4, using net defined by OOA based on linear OOA(497, 454566, F4, 15, 12) (dual of [(454566, 15), 6818393, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(497, 909133, F4, 3, 12) (dual of [(909133, 3), 2727302, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(497, 909133, F4, 12) (dual of [909133, 909036, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(497, 1048612, F4, 12) (dual of [1048612, 1048515, 13]-code), using
- 2 times code embedding in larger space [i] based on linear OA(495, 1048610, F4, 12) (dual of [1048610, 1048515, 13]-code), using
- 1 times truncation [i] based on linear OA(496, 1048611, F4, 13) (dual of [1048611, 1048515, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(491, 1048576, F4, 13) (dual of [1048576, 1048485, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(461, 1048576, F4, 9) (dual of [1048576, 1048515, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(45, 35, F4, 3) (dual of [35, 30, 4]-code or 35-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- 1 times truncation [i] based on linear OA(496, 1048611, F4, 13) (dual of [1048611, 1048515, 14]-code), using
- 2 times code embedding in larger space [i] based on linear OA(495, 1048610, F4, 12) (dual of [1048610, 1048515, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(497, 1048612, F4, 12) (dual of [1048612, 1048515, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(497, 909133, F4, 12) (dual of [909133, 909036, 13]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.